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135305225244 = 223274991076003
BaseRepresentation
bin111111000000011010…
…0011110010000011100
3110221020122122121111200
41332000310132100130
54204101114201434
6142054112315500
712526663303230
oct1760064362034
9427218577450
10135305225244
11524232aa402
1222281542b90
13c9b4040677
146797d005c0
1537bd9ac199
hex1f80d1e41c

135305225244 has 72 divisors (see below), whose sum is σ = 391665456000. Its totient is φ = 38581127712.

The previous prime is 135305225243. The next prime is 135305225269. The reversal of 135305225244 is 442522503531.

135305225244 is a `hidden beast` number, since 1 + 353 + 0 + 52 + 252 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135305225199 and 135305225208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135305225243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412254 + ... + 663749.

It is an arithmetic number, because the mean of its divisors is an integer number (5439798000).

Almost surely, 2135305225244 is an apocalyptic number.

135305225244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135305225244 is an abundant number, since it is smaller than the sum of its proper divisors (256360230756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135305225244 is a wasteful number, since it uses less digits than its factorization.

135305225244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076519 (or 1076514 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 135305225244 its reverse (442522503531), we get a palindrome (577827728775).

The spelling of 135305225244 in words is "one hundred thirty-five billion, three hundred five million, two hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 499 998 1497 1996 2994 3493 4491 5988 6986 8982 10479 13972 17964 20958 31437 41916 62874 125748 1076003 2152006 3228009 4304012 6456018 7532021 9684027 12912036 15064042 19368054 22596063 30128084 38736108 45192126 67788189 90384252 135576378 271152756 536925497 1073850994 1610776491 2147701988 3221552982 3758478479 4832329473 6443105964 7516956958 9664658946 11275435437 15033913916 19329317892 22550870874 33826306311 45101741748 67652612622 135305225244